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The Taylor rule is a formula that turns two numbers, inflation and the output gap, into a suggested level for the Fed Funds Rate. The output gap is how far the economy's production sits above or below the level it can sustain. The Fed Funds Rate is the overnight interest rate that the US central bank, the Federal Reserve (the Fed), steers. John Taylor, an economist at Stanford University, published the formula in 1993.

Does the Fed follow it? From 1960 Q1 to 2026 Q2, the actual rate was within 2 percentage points of Taylor's 1993 formula in 51.9% of the 266 quarters. The actual rate averaged below the formula in five of the seven periods studied.

What is the Taylor rule? The Taylor rule is a formula that suggests an interest rate from inflation and the output gap, the distance between the economy's actual production and its sustainable level. In Taylor's 1993 version, inflation of 2% and no output gap give a rate of 4%.

  • Each extra 1 percentage point of inflation adds 1.5 percentage points to the suggested rate. Each extra 1 point of output gap adds 0.5.

  • From 1960 Q1 to 2026 Q2, the actual Fed Funds Rate was within 2 percentage points of the 1993 formula in 51.9% of quarters. It sat below the formula in 64.7% of them.

  • The choice of inputs changes the suggested rate by about 1.9 percentage points on average, between the highest and lowest of five versions of the rule.

What is the Taylor rule?

Taylor wrote the rule in his 1993 paper as:

r = p + .5y + .5(p − 2) + 2

Each letter has a plain meaning, taken from the paper.

  • r is the Fed Funds Rate that the rule suggests. The Fed Funds Rate is what banks charge each other for overnight loans.

  • p is inflation over the previous four quarters, the % rise in prices against a year earlier.

  • y is the % deviation of real Gross Domestic Product (GDP) from a target. Real GDP is the value of everything the economy produces, adjusted for inflation. The target is a trend level.

  • The final 2 is the neutral real interest rate, the rate after inflation that neither speeds up nor slows down the economy.

  • The 2 inside the bracket is the inflation target of 2% a year.

With inflation at 2% and output at its target, the rule gives 2 + 0 + 0 + 2 = 4%.

Inflation appears twice. The first p keeps the rate in step with inflation. The term .5(p − 2) adds half a point for every point above the target. A 1 point rise in inflation therefore lifts the suggested rate by 1.5 points.

Here is a worked case. With inflation at 3% and an output gap of +1%, the rule gives 3 + 0.5 × 1 + 0.5 × (3 − 2) + 2 = 6.0%. A neutral rate of 3 instead of 2 would add 1.0.

Where did the Taylor rule come from?

Taylor presented the rule in "Discretion versus Policy Rules in Practice", in the Carnegie-Rochester Conference Series on Public Policy in 1993. He introduced it as a rule that "captures the spirit of the recent research" on policy rules.

The paper compared the rule with the actual rate from 1987 to 1992. Taylor wrote that "this rule fits the actual policy performance during the last few years remarkably well". The same paper says that "operating monetary policy by mechanically following a policy rule like equation 1 is not practical".

Later versions differ. In 1999 Taylor analysed a rule with a weight of 1.0 on the output gap instead of 0.5. The Federal Reserve Board calls that form the balanced-approach rule.

Who sets the rate is covered in who votes on interest rates. The mechanics are in how the Fed sets rates.

What inputs does the Taylor rule need?

The rule needs three choices: an inflation measure, a gap measure and a neutral rate.

Taylor's paper measured inflation with the GDP deflator, the price index for everything the US economy produces. The Fed's 2% objective is defined on a different measure, the Personal Consumption Expenditures (PCE) Price Index, which tracks what households buy. See PCE inflation.

For the output gap, this article uses the Congressional Budget Office (CBO) estimate of potential output, the level the economy can sustain.

One test uses an unemployment gap instead. It is the CBO estimate of the natural rate of unemployment, the rate consistent with stable inflation, minus the measured Unemployment Rate. The Fed's explainer notes that 1 point of output gap corresponds to about 0.5 point of unemployment gap, so that version carries a weight of 1.

This article tests five versions.

Version

Inflation measure

Gap

Gap weight

1. Taylor 1993

GDP deflator

Output gap

0.5

2. PCE

PCE Price Index

Output gap

0.5

3. Core PCE

PCE excluding food and energy

Output gap

0.5

4. Taylor 1999

GDP deflator

Output gap

1.0

5. Unemployment

GDP deflator

Unemployment gap

1.0

Version 1 is the rule as published, with Taylor's coefficients and inflation measure. The first two charts use it. All five use a neutral rate of 2 and a target of 2.

The data are today's estimates. GDP and potential output are revised over time, so the Committee saw different numbers at the time. The latest quarter, 2026 Q2, may also be revised.

How close has the Fed Funds Rate been to the Taylor rule since 1960?

Line chart of the actual Fed Funds Rate in blue and the 1993 Taylor rule in orange, 1960 Q1 to 2026 Q2. Both peak around 1981, the rule at 16.0% in 1981 Q1 and the actual rate at 17.8% in 1981 Q2. In 2022 Q2 the rule is 13.0% against an actual 0.8%. The rule dips below zero in 5 quarters between 2009 Q2 and 2020 Q2.

Source: FRED series FEDFUNDS, GDPDEF, GDPC1, GDPPOT; YX Insights calculation

The chart shows the actual rate in blue and version 1, Taylor's 1993 rule, in orange. Both peaked around 1981, the rule at 16.0% in 1981 Q1 and the actual rate at 17.8% in 1981 Q2.

Over the 266 quarters the two lines have a correlation of 0.69. A correlation of 1.0 would mean they always move together. The actual rate sat below the rule in 64.7% of the quarters.

The match is closer in some periods. In 1987 Q1 to 1992 Q4, the window of Taylor's paper, the actual rate was within 2 points of version 1 in 87.5% of the 24 quarters.

The difference can be large. In 2022 Q2 version 1 gave 13.0%, against an actual rate of 0.8%. The rule was negative in only 5 quarters, the first in 2009 Q2 and the last in 2020 Q2. The actual rate stayed above zero.

Bar chart of the average gap between the actual Fed Funds Rate and the 1993 Taylor rule by decade: 1960s -1.1, 1970s -3.6, 1980s +2.6, 1990s +0.8, 2000s -1.2, 2010s -2.1 and 2020 to 2026 Q2 -3.9 percentage points. A negative bar means the actual rate sat below the rule.

Source: FRED series FEDFUNDS, GDPDEF, GDPC1, GDPPOT; YX Insights calculation

The second chart averages the difference, the actual rate minus the rule, by decade. A negative bar means the actual rate sat below the rule on average. The average was negative in five of the seven periods.

The 1970s sit 3.6 points below the rule and the 1980s 2.6 points above it. The period from 2020 to 2026 Q2 sits 3.9 points below.

Does the choice of inputs change the answer?

Line chart of the actual Fed Funds Rate, 1960 Q1 to 2026 Q2, over a shaded band running from the lowest to the highest of five versions of the Taylor rule. The actual rate is inside the band in 21.1% of the 266 quarters, below it in 51.1% and above it in 27.8%.

Source: FRED series FEDFUNDS, GDPDEF, GDPC1, GDPPOT, PCECTPI, PCEPILFE, UNRATE, NROU; YX Insights calculation

The shaded band spans the lowest and highest of the five versions in each quarter. On average the band is 1.9 points wide (median 1.6). It reached 5.3 points in 2010 Q1. The actual rate lay inside the band in 21.1% of quarters, below it in 51.1% and above it in 27.8%.

The actual real rate, the Fed Funds Rate minus GDP deflator inflation, averaged 1.5% over the sample. A neutral rate of 1 instead of 2 lowers the rule by 1 point in every quarter.

The mean difference then moves from −1.1 to −0.1 points, while the share within 2 points rises from 51.9% to 60.2%. The correlation stays at 0.69, because a constant shifts the level only.

So does the Fed follow the Taylor rule?

The data show how far the actual rate sat from the rule. They cannot show why. The Federal Reserve Board's explainer says the Committee regularly consults the prescriptions of several policy rules along with other information. It adds that there are important limitations that argue against mechanically following any rule.

The measured record is mixed. The actual rate was within 2 points of the 1993 formula in 51.9% of quarters from 1960 Q1 to 2026 Q2. The average difference by period ran from 3.9 points below the rule to 2.6 points above it.

Common questions about the Taylor rule

What is the Taylor rule formula?

The Taylor rule formula, as John Taylor published it in 1993, is r = p + .5y + .5(p − 2) + 2. Here r is the suggested Fed Funds Rate, p is inflation over the previous four quarters, while y is the % gap between real output and its target. The rule gives 4% when inflation is 2% and the output gap is zero.

Who created the Taylor rule?

John Taylor, an economist at Stanford University, created the Taylor rule. He published it in 1993 in the paper "Discretion versus Policy Rules in Practice". He later analysed a version with a weight of 1.0 on the output gap, which the Federal Reserve Board calls the balanced-approach rule.

Does the Federal Reserve use the Taylor rule?

The Federal Reserve Board says the Committee regularly consults the prescriptions of several policy rules along with other information. The same explainer says there are important limitations that argue against mechanically following any rule. The how the Fed sets rates guide covers the process.

Why does the Taylor rule give different answers?

The Taylor rule gives different answers because its inputs are choices. The inflation measure, the gap measure and the neutral rate can each differ. Across 266 quarters, the highest and lowest of five versions differed by 1.9 percentage points on average. A neutral rate of 3 instead of 2 adds 1.0 point.

Learn more with YX Insights

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The same approach runs through everything else we publish:

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DISCLAIMER: This article is strictly educational. Any information or analysis in this note is not an offer to sell or the solicitation of an offer to buy any securities. Nothing in this note is intended to be investment advice and nor should it be relied upon to make investment decisions. Any opinions, analyses, or probabilities expressed in this note are those of the author as of the note's date of publication and are subject to change without notice.

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